22 citations · 64 across the 27 of their papers we have counts for
28 papers
Subdivision Schemes in Metric Spaces
Nira Dyn, Nir Sharon
We develop a unified framework for nonlinear subdivision schemes on complete metric spaces (CMS). We begin with CMS preliminaries and formalize refinement in CMS, retaining key str…
Approximation of Set-Valued Functions with images sets in
Nira Dyn, David Levin
Given a finite number of samples of a continuous set-valued function F, mapping an interval to non-empty compact subsets of , , we discu…
Improving the convergence analysis of linear subdivision schemes
Nira Dyn, Nir Sharon
This work presents several new results concerning the analysis of the convergence of binary, univariate, and linear subdivision schemes, all related to the {\it contractivity facto…
Metrically differentiable set-valued functions and their local linear approximants
Alona Mokhov, Nira Dyn, Elza Farkhi
A new notion of metric differentiability of set-valued functions at a point is introduced in terms of right and left limits of special set-valued metric divided differences of firs…
The pointwise limit of metric integral operators approximating set-valued functions
Elena E. Berdysheva, Nira Dyn, Elza Farkhi +1
For set-valued functions (SVFs, multifunctions), mapping a compact interval into the space of compact non-empty subsets of , we study approximation based on…
Metric approximation of set-valued functions of bounded variation by integral operators
Elena E. Berdysheva, Nira Dyn, Elza Farkhi +1
We introduce an adaptation of integral approximation operators to set-valued functions (SVFs, multifunctions), mapping a compact interval into the space of compact non-empt…